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Finding the Third Proportional to 962,982 and 2,050,380

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Solution

The third proportional to 962,982 and 2,050,380 is: 4,365,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,982 : 2,050,380 = 2,050,380 : x
  2. Step 2: Convert to fraction form
    962,982/2,050,380 = 2,050,380/x
  3. Step 3: Cross multiply
    962,982x = 2,050,380 × 2,050,380
  4. Step 4: Simplify right side
    962,982x = 4,204,058,144,400
  5. Step 5: Solve for x
    x = 4,204,058,144,400/962,982
  6. Step 6: Final answer
    x = 4,365,666.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.